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18119920 = 24571319131
BaseRepresentation
bin100010100011…
…1110011110000
31021002120212011
41011013303300
514114314140
61444212304
7310005520
oct105076360
937076764
1018119920
11a256845
12609a094
1339a5760
142599680
1518cdcea
hex1147cf0

18119920 has 160 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 5391360.

The previous prime is 18119917. The next prime is 18119921. The reversal of 18119920 is 2991181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18119921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138255 + ... + 138385.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 218119920 is an apocalyptic number.

18119920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

18119920 is an abundant number, since it is smaller than the sum of its proper divisors (36876560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18119920 is a wasteful number, since it uses less digits than its factorization.

18119920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The square root of 18119920 is about 4256.7499339285. The cubic root of 18119920 is about 262.6548504337.

The spelling of 18119920 in words is "eighteen million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 131 133 140 152 182 190 208 247 260 262 266 280 304 364 380 455 494 520 524 532 560 655 665 728 760 910 917 988 1040 1048 1064 1235 1310 1330 1456 1520 1703 1729 1820 1834 1976 2096 2128 2470 2489 2620 2660 3406 3458 3640 3668 3952 4585 4940 4978 5240 5320 6812 6916 7280 7336 8515 8645 9170 9880 9956 10480 10640 11921 12445 13624 13832 14672 17030 17290 17423 18340 19760 19912 23842 24890 27248 27664 32357 34060 34580 34846 36680 39824 47684 49780 59605 64714 68120 69160 69692 73360 87115 95368 99560 119210 129428 136240 138320 139384 161785 174230 190736 199120 226499 238420 258856 278768 323570 348460 452998 476840 517712 647140 696920 905996 953680 1132495 1294280 1393840 1811992 2264990 2588560 3623984 4529980 9059960 18119920